The Leslie–Gower models with strong Allee effect in the prey and different type of functional responses have been extensible studied in [1]}, [2]}. In these articles the authors showed that the system, for certain system parameters, can have the extinction of both species and it also support the stabilisation of both population over the time. Moreover, system (REF ) with \(m<0\)  complement the results of the Leslie–Gower model studied by Courchamp et al. [3]} in which the prey is affected a density-dependent phenomenon. We will show the impact in the basin of attraction by considering a week Allee effect in the prey for two parameters which are the rescaled intrinsic growth rate of the predator and the predation rate.
